Prime p₀= 2642367041693316167 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 76 2 88 2 28 2 88 2 10 2 (?)
a_n: 0 2 24 26 102 104 192 194 222 224 312 314 324 326
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 326
Found by: JayPi
db: batch=82, k=14, 22 76 88 28 88 10

SPT(16)	2642365713186316927	0 40 42 76 90 112 196 232 264 300 384 406 420 454 456 496	-1328506999240
TPT(14)	2642366167426888907	0 2 144 146 180 182 222 224 252 254 264 266 294 296	-874266427260
STPT(10)	2642366311216498367	0 2 12 14 72 74 132 134 144 146	-730476817800
STPT(10)	2642366477520933617	0 2 24 26 42 44 60 62 84 86	-564172382550
STPT(10)	2642366603057981687	0 2 30 32 42 44 54 56 84 86	-438635334480
SPT(16)	2642366617224146119	0 28 48 72 94 108 132 142 150 160 184 198 220 244 264 292	-424469170048
SPT(16)	2642367271416804539	0 38 44 72 80 102 138 174 248 284 320 342 350 378 384 422	229723488372
STPT(10)	2642367304222756181	0 2 36 38 78 80 120 122 156 158	262529440014
STPT(10)	2642367356785638191	0 2 66 68 108 110 150 152 216 218	315092322024
SPT(16)	2642367361162395379	0 10 30 42 78 100 112 168 184 240 252 274 310 322 342 352	319469079212
SPT(16)	2642367612905944193	0 6 8 36 78 84 116 144 200 228 260 266 308 336 338 344	571212628026